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Finding the Fourth Proportional to 13,633.30, 18,815.05 and 7,664.61

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Solution

The fourth proportional to 13,633.30, 18,815.05 and 7,664.61 is: 10,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.30 : 18,815.05 = 7,664.61 : x
  2. Step 2: Convert to fraction form
    13,633.30/18,815.05 = 7,664.61/x
  3. Step 3: Cross multiply
    13,633.30x = 18,815.05 × 7,664.61
  4. Step 4: Simplify right side
    13,633.30x = 144,210,020.38
  5. Step 5: Solve for x
    x = 144,210,020.38/13,633.30
  6. Step 6: Final answer
    x = 10,577.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.